Consider the following probability distribution.Which of the following is true? A)P(X 3)= 0.51 B)P(2 ≤ X ≤ 5)= 0.33 C)P(X ≥3)= 0.51 D)P(X

Question

Consider the following probability distribution.Which of the following is true? 
A)P(X > 3)= 0.51 
B)P(2 ≤ X ≤ 5)= 0.33 
C)P(X ≥3)= 0.51 
D)P(X < 6)=1

Quizplus · Accepted Answer

Looking at the probability distribution, we can see that P(X ≥ 3) is the sum of the probabilities of X=3, 4, and 5. This is equal to 0.15 + 0.20 + 0.16 = 0.51. Therefore, option C is the correct choice. 
Option A is incorrect as the probability of X being greater than 3 is the sum of the probabilities of X=4 and X=5, which is 0.16 + 0.15 = 0.31.
Option B is also incorrect because the probability of 2 ≤ X ≤ 5 is the sum of the probabilities of X=2, 3, 4, and 5, which is 0.09 + 0.15 + 0.20 + 0.16 = 0.60.
Option D is incorrect as the probability of X being less than 6 is simply the sum of all probabilities, which is 1.

Consider the Following Probability Distribution